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Minimal permutation representations of the two double covers of Sn

Published online by Cambridge University Press:  20 January 2009

John Brinkman
John Brinkman
Affiliation:
Department of Mathematics Liverpool Institute of Higher Education, Woolton Road, Liverpool L16 8ND
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Abstract

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Let G be a finite group and denote by µ(G) (see [2]) the least positive integer m such that G has a faithful permutation representation in the symmetric group of degree m. This note considers the value of µ(G) when G is a double cover of the symmetric group.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 39 , Issue 2 , June 1996 , pp. 285 - 289
Copyright
Copyright © Edinburgh Mathematical Society 1996

References

REFERENCES

1. Hoffman, P. N. and Humphreys, J. F. Projective Representations of the Symmetric Groups (Oxford Mathematical Monographs, 1992).CrossRefGoogle Scholar
2. Johnson, D. L., Minimal permutation representations of finite groups. Amer. J. Math. 93 (1971), 857–866.CrossRefGoogle Scholar
3. Wales, D. B., Some projective representations of S n. J. Algebra 61 (1979), 37–57.Google Scholar